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Finding the Third Proportional to 43,380 and 58,926

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Solution

The third proportional to 43,380 and 58,926 is: 80,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,380 : 58,926 = 58,926 : x
  2. Step 2: Convert to fraction form
    43,380/58,926 = 58,926/x
  3. Step 3: Cross multiply
    43,380x = 58,926 × 58,926
  4. Step 4: Simplify right side
    43,380x = 3,472,273,476
  5. Step 5: Solve for x
    x = 3,472,273,476/43,380
  6. Step 6: Final answer
    x = 80,043.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.